Search a number
-
+
1057505329 = 291371791487
BaseRepresentation
bin111111000010000…
…100000000110001
32201200212211121001
4333002010000301
54131210132304
6252534002001
735130434626
oct7702040061
92650784531
101057505329
114a2a30451
122561a6301
1313b1227ca
14a063a34d
1562c8eda4
hex3f084031

1057505329 has 16 divisors (see below), whose sum is σ = 1108857600. Its totient is φ = 1007246464.

The previous prime is 1057505327. The next prime is 1057505341. The reversal of 1057505329 is 9235057501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1057505329 - 21 = 1057505327 is a prime.

It is a super-2 number, since 2×10575053292 = 2236635041726796482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057505327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710424 + ... + 711910.

It is an arithmetic number, because the mean of its divisors is an integer number (69303600).

Almost surely, 21057505329 is an apocalyptic number.

It is an amenable number.

1057505329 is a deficient number, since it is larger than the sum of its proper divisors (51352271).

1057505329 is a wasteful number, since it uses less digits than its factorization.

1057505329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 47250, while the sum is 37.

The square root of 1057505329 is about 32519.3070190618. The cubic root of 1057505329 is about 1018.8123203548.

The spelling of 1057505329 in words is "one billion, fifty-seven million, five hundred five thousand, three hundred twenty-nine".

Divisors: 1 29 137 179 1487 3973 5191 24523 43123 203719 266173 711167 5907851 7719017 36465701 1057505329